\( \sqrt { } \)

\[ f+x \rightarrow 3 \cos x-2 \sin x, x \in \mathbb{R},-\pi \leq x<\pi \] Write \( f(x) \) as \( R \cos (x+\alpha) \), where \( R \) and \( \alpha \) are constants to be found. Hence, or otherwise, find the range of \( f \) and sketch the curve.

Вычислите значение выражения \( 3 \sqrt{2} \cdot \sqrt{5} \cdot 4 \sqrt{10} \)

1) Resuelva las siguientes inecuaciones y represente el conjunto soluc a) \( -x+5<-2 \) b) \( 4 x+1 \geq 9 x \) c) \( 25 \) b) \( |x+3| \leq 4 \)

A(n) 7 -inch sunflower is planted in a garden and the height of the sunflower increases exponentially. The height of the sunflower increases by \( 23 \% \) every 6 days. a. What is the 6-day growth factor for the height of the sunflower? b. What is the 1-day growth factor for the height of the sunflower? c. What is the 1-day percent change for the height of the sunflower? d. Write a function \( f \) that determines the height of the sunflower (in inches) in terms of the number of days \( t \) since the sunflower was planted. \( f(t)= \) Preview

\( [1 \) foot \( =12 \) inches; 1 yard \( =3 \) feet \( ] \) 3 feet 5 feet 8 feet 10 feet